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Finding the Fourth Proportional to 3,908.94, 5,394.15 and 2,140.50

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Solution

The fourth proportional to 3,908.94, 5,394.15 and 2,140.50 is: 2,953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.94 : 5,394.15 = 2,140.50 : x
  2. Step 2: Convert to fraction form
    3,908.94/5,394.15 = 2,140.50/x
  3. Step 3: Cross multiply
    3,908.94x = 5,394.15 × 2,140.50
  4. Step 4: Simplify right side
    3,908.94x = 11,546,178.08
  5. Step 5: Solve for x
    x = 11,546,178.08/3,908.94
  6. Step 6: Final answer
    x = 2,953.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.